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See the given figure. DE || BC. Find AD. - Mathematics

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Question

See the given figure. DE || BC. Find AD.

Sum

Solution

It is given that DE || BC

By using basic proportionality theorem, we obtain

`("AD")/("DB")=("AE")/("EC")`

`("AD")/7.2=1.8/5.4`

AD × 5.4 = 1.8 × 7.2 

AD = `(1.8 xx 7.2)/5.4`

= `18/10xx 72/10 xx10/54`

= `24/10`

= 2.4

∴ AD = 2.4 cm

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Chapter 6: Triangles - Exercise 6.2 [Page 128]

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NCERT Mathematics [English] Class 10
Chapter 6 Triangles
Exercise 6.2 | Q 1.2 | Page 128

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